sin^2x+11sinx-3cos^2x=0

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Solution for sin^2x+11sinx-3cos^2x=0 equation:


Simplifying
sin2x + 11sinx + -3cos2x = 0

Reorder the terms:
-3cos2x + 11insx + in2sx = 0

Solving
-3cos2x + 11insx + in2sx = 0

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-11insx' to each side of the equation.
-3cos2x + 11insx + -11insx + in2sx = 0 + -11insx

Combine like terms: 11insx + -11insx = 0
-3cos2x + 0 + in2sx = 0 + -11insx
-3cos2x + in2sx = 0 + -11insx
Remove the zero:
-3cos2x + in2sx = -11insx

Add '-1in2sx' to each side of the equation.
-3cos2x + in2sx + -1in2sx = -11insx + -1in2sx

Combine like terms: in2sx + -1in2sx = 0
-3cos2x + 0 = -11insx + -1in2sx
-3cos2x = -11insx + -1in2sx

Divide each side by '-3os2x'.
c = 3.666666667ino-1s-1 + 0.3333333333in2o-1s-1

Simplifying
c = 3.666666667ino-1s-1 + 0.3333333333in2o-1s-1

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